Did Winston Churchill like the Beatles?

Answer 1

It is most unlikely that he ever heard them.

He was living in a mental void in the last five years of his life (1960-1965)

The Beatles were not known by most people until 1962.

In any case, Churchill did not have a musical ear. He made a special concession to Noel Coward by singing along with 'Mad Dogs and Englishmen', as Coward had made an important contribuion to the war effort, that had to be kept secret (from the public, but not from Churchill), almost to the end of Coward's life.